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Simplifying 3x + -1(6x + 2) * 2 + 4(0.5x + 0.5) = 0 Reorder the terms: 3x + -1(2 + 6x) * 2 + 4(0.5x + 0.5) = 0 Reorder the terms for easier multiplication: 3x + -1 * 2(2 + 6x) + 4(0.5x + 0.5) = 0 Multiply -1 * 2 3x + -2(2 + 6x) + 4(0.5x + 0.5) = 0 3x + (2 * -2 + 6x * -2) + 4(0.5x + 0.5) = 0 3x + (-4 + -12x) + 4(0.5x + 0.5) = 0 Reorder the terms: 3x + -4 + -12x + 4(0.5 + 0.5x) = 0 3x + -4 + -12x + (0.5 * 4 + 0.5x * 4) = 0 3x + -4 + -12x + (2 + 2x) = 0 Reorder the terms: -4 + 2 + 3x + -12x + 2x = 0 Combine like terms: -4 + 2 = -2 -2 + 3x + -12x + 2x = 0 Combine like terms: 3x + -12x = -9x -2 + -9x + 2x = 0 Combine like terms: -9x + 2x = -7x -2 + -7x = 0 Solving -2 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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